Varians Kalkülatory
Data setiň nusgasyny ýa-da ilat variasiýasyny hasapla
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
Variance is the average of the squared deviations from the mean and is the square of the standard deviation. This calculator gives the sample variance (sum of squared deviations divided by n − 1) or the population variance (divided by n), along with the standard deviation, mean, range and sum of squared deviations. Variance is expressed in squared units, which is why the standard deviation — its square root — is usually easier to interpret.
To find it, take the mean, subtract it from every value, square each of those deviations, add them together and divide by n − 1 for a sample or by n for a whole population. Squaring is what makes variance always non-negative and gives extra weight to values that lie far from the mean.
Worked example: for 12, 15, 17, 20, 22, 25 the mean is 18.5. The squared deviations sum to about 118.5, so the sample variance is 118.5 ÷ 5 = 23.7 and the population variance is 118.5 ÷ 6 = 19.75. Variance is the workhorse behind ANOVA, portfolio risk, quality control and many other techniques; the deviation table below lists each value’s distance from the mean and its square.
Köp soralýan soraglar
Varians nädip standart çeýnek bilen bagly?
Standart üýtgetme, variançanyň kvadrat köki. Variansa kvadrat birliklerde (meselem, kvadrat dollarlar) bar, standart üýtgetme bolsa, özbaşdak birliklerde, şuňa görä ikisi hemme wagt birmeňzeş üýtgetme beýan eder.
N versus n - 1 nirede ulanmak gerek?
Detalyňyz uly bir ilat sanyny hasaplamak üçin ulanylan bir nusga bolsa n - 1 bilen bölünsin; detalyňyz size gyzyklanýan ähli halk sanyny görkezse n bilen bölünsin.
Näme üçin variansiň ikinji birlikde bolmagy gerek?
Her bir çykyş ortaçadan öň ikinjilenmek üçin, netije özbaşdak birlikden ikinjilenmek üçin - ikinjilenmek dollar, ikinjilenmek santimetr we ş.m.t. - ikinjilenmek getirýär. Bu ikinjilenmek üçin dogry düşünmek kyna getirýär, şonuň üçin ikinjilenmek köki, standart çykyş, onuň bilen birlikde habar berilýär.
Varians
Haýba. Bu ikinjiden umumy bir sany, şonuň üçin her wagt süňňü ýa-da oňly. Süňňüň umumylygy, setdäki her bir mykadryň birmeňzeşdigini aňladýar.
Varians we standart çeýnek arasy nädip tapawutlanýar?
Olar şol bir ýaýramagy beýan edýärler, ýöne dürli ölçekler bilen: variança ortaça kvadratik çykyş, we standart çykyş onuň kvadratik köki, aňsatlyk bilen birikmelerde. Eger variança 25 bolsa, standart çykyş 5.
Varians real analizde nädip ulanylýar?
Varians finansda riskiň, inženerçilikde signal güýjüni we ANOVAda F-testini aşakda goýar, bu ýerde toparlar arasyndaky varianslar olar içindeki varianslar bilen deňeşdirilip toparlaryň ortalarynyň hakykatda tapawutlanýandygyny kesgitlemek üçin ulanylýar.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
Endpoint
GET https://calculator.free/api/v1/variance/curl
curl "https://calculator.free/api/v1/variance/?numbers=12, 15, 17, 20, 22, 25&type=sample"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/variance/?" + new URLSearchParams({
"numbers": "12, 15, 17, 20, 22, 25",
"type": "sample"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.